Quantum corrections to the dynamics of the Bose-Einstein condensate in a double-well potential
Abstract
The dynamics of the Bose-Einstein condensate (BEC) in a double-well potential is of- ten investigated under the mean-field theory (MFT). This works successfully for large particle numbers with dynamical stability. But for dynamical instabilities, quantum cor- rections to the MFT becomes important [Phys.Rev.A 64, 013605(2001)]. Recently the adiabatic dynamics of the double-well BEC is investigated under the MFT in terms of a dark variable [Phys.Rev.A 81, 043621(2010)], which generalizes the adiabatic passage techniques in quantum optics to the nonlinear matter-wave case. We give a fully quan- tized version of it using second-quantization and introduce new correction terms from higher order interactions beyond the on-site interaction, which are interactions between the tunneling particle and the particle in the well and interactions between the tunneling particles. If only the on-site interaction is considered, this reduces to the usual two-mode BEC.
Keywords
Cite
@article{arxiv.1103.3914,
title = {Quantum corrections to the dynamics of the Bose-Einstein condensate in a double-well potential},
author = {Wei Fan and Yan Xu and Bing Chen},
journal= {arXiv preprint arXiv:1103.3914},
year = {2012}
}
Comments
accepted by Internal Journal of Modern Physics B recently